Finding the Third Proportional to 111.09 and 175.92

Step by Step Solution

1. Step 1: Write the proportion equation
   111.09 : 175.92 = 175.92 : x
2. Step 2: Convert to fraction form
   111.09/175.92 = 175.92/x
3. Step 3: Cross multiply
   111.09x = 175.92 × 175.92
4. Step 4: Simplify right side
   111.09x = 30,948.51
5. Step 5: Solve for x
   x = 30,948.51/111.09
6. Step 6: Final answer
   x = 278.58